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Finding the Third Proportional to 229,923 and 358,852.50

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Solution

The third proportional to 229,923 and 358,852.50 is: 560,079.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,923 : 358,852.50 = 358,852.50 : x
  2. Step 2: Convert to fraction form
    229,923/358,852.50 = 358,852.50/x
  3. Step 3: Cross multiply
    229,923x = 358,852.50 × 358,852.50
  4. Step 4: Simplify right side
    229,923x = 128,775,116,756.25
  5. Step 5: Solve for x
    x = 128,775,116,756.25/229,923
  6. Step 6: Final answer
    x = 560,079.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.